Answer:
BC = 7
Step-by-step explanation:
AB + BC = AC
39 + BC = 46
BC = 46 - 39
BC = 7
Angle L is equal to angle N, so angle L is equal to 119. Angle k and angle L is equal to 61.
Answer:
Area of the walkway border is 736 ft²
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides and four angles) with two pairs of opposite and parallel sides. All angles in a rectangle are 90 degrees each. Also, opposite sides are equal.
The entire pool area has a length of 60 feet and width of 40 feet. The area of the entire pool area is:
Area of entire pool = length * width = 60 feet * 40 feet = 2400 ft²
The area of entire pool
A walkaway border of 4 ft is made around the pool area. There is a decrease of 4 ft round the sides of the pool area.
Therefore length of pool = length of entire pool area - 4 feet border at left - 4 feet border at right = 60 ft - 4 ft - 4 ft = 52 ft
width of pool = width of entire pool area - 4 feet border at top - 4 feet border at bottom = 40 ft - 4 ft - 4 ft = 32 ft
Therefore the pool is 52 ft × 32 ft
Area of pool = length * width = 52 ft * 32 ft = 1664 ft²
Area of the walkway border = Entire pool area - Area of pool = 2400 ft² - 1664 ft² = 736 ft²
Part 1)
we have
------> equation A
------> equation B
Multiply by the equation A
------> equation C
Multiply by the equation B
-------> equation D
Adds equation C and equation D
therefore
<u>the answer Part 1) is the option A </u>
Part 2)
we have
------> equation A
Simplify Divide by both sides
------> equation B
the lines A and B are parallel lines, because the slope m is equal
so
The system has no solution
therefore
<u>the answer Part 2) is the option D</u>
There is no x value as there is no solution to the system.
Part 3)
we have
------> equation A
------> equation B
substitute equation B in equation A
therefore
<u>the answer part 3) is the option D</u>
Part 4)
Let
x---------> The number of one-step equations
y---------> The number of two-step equations
we know that
-------> equation A
------> equation B
substitute equation A in equation B
therefore
<u>the answer part 4) is the option D</u>
Answer: 5
Step-by-step explanation: